A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?
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A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?
Given plane is directed due south.
With speed relative to still air a=78.5m/s
Later on it is observed it has moved 255km in one hour.
Therefore speed in resultant direction is
b=255km/hr
Or ( in terms of m/s)
b=255x5/18=70.83m/s
Let's assume speed of the air is c at an angle θ as shown in figure
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